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Dynamically induced Planck scale and inflation in the Palatini formulation

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arxiv 2006.09124 v2 pith:2DF7Q7OQ submitted 2020-06-16 gr-qc astro-ph.COhep-phhep-th

Ioannis D. Gialamas , Alexandros Karam , Antonio Racioppi This is my paper · ORCID
classification gr-qcastro-ph.COhep-phhep-th
keywords inflationnon-minimalpalatinicoleman-weinbergdynamicallyformulationgravityplanck
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We study non-minimal Coleman-Weinberg inflation in the Palatini formulation of gravity in the presence of an $R^2$ term. The Planck scale is dynamically generated by the vacuum expectation value of the inflaton via its non-minimal coupling to the curvature scalar $R$. We show that the addition of the $R^2$ term in Palatini gravity makes non-minimal Coleman-Weinberg inflation again compatible with observational data.

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Cited by 7 Pith papers

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  1. Lorentz violating quadratic gravity

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    Bumblebee–quadratic gravity needs new Lorentz-violating counterterms at one loop, but the displayed computation has a gauge-parameter inconsistency and the classical Schwarzschild/de Sitter solutions are the robust part.

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    hep-ph 2025-07 conditional novelty 6.0 of 10

    In a Weyl-invariant Einstein-Cartan gravity theory with the SM Higgs and a heavy gravitational ALP, tuning two nonminimal couplings reproduces metric Higgs inflation and α-attractor-like inflation with ns≈1−2/N and r≈12/N^2.

  3. Inflationary assessment of $F(\mathcal{R},\tilde{\mathcal{R}})$ Einstein-Cartan models

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    Adding cubic Holst-invariant terms to F(R,R̃) Einstein-Cartan inflation models systematically lowers the predicted spectral index n_s and tensor-to-scalar ratio r, restoring data compatibility in parameter regions whe...

  4. Observable Primordial Gravitational Waves from Non-minimally Coupled $R^2$ Palatini Modified Gravity

    astro-ph.CO 2025-02 conditional novelty 5.0 of 10

    For non-minimally coupled Palatini R^2 inflation with a runaway potential, the predicted primordial gravitational wave spectrum has two flat plateaus connected by a kination boost, and it becomes more observable as th...

  5. Non-Standard Thermal History and Formation of Primordial Black Holes in Einstein-Gauss-Bonnet Gravity

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  6. Constraining Quintessential Inflation with ACT: A Gauss-Bonnet Gateway

    astro-ph.CO 2026-04 unverdicted novelty 4.5 of 10

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  7. Constant-roll $\beta$-exponential inflation: Palatini formalism

    gr-qc 2026-01 reject novelty 4.0 of 10

    A parameter scan of constant-roll β-exponential inflation in Palatini R² gravity claims agreement with ACT/Planck contours, but the derivation is undermined by algebraic sign errors and an absent non-Gaussianity calculation.

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